Finally, least - squares solution for the inverse problem of bisymmetric matrices with a submatrix constraint is proposed. 研究了子阵约束下双对称矩阵反问题的最小二乘问题. 互联网 In traditionalLeast Squares, all data points areto have the same influence on forecasted point. ...
Solving the Least Squares Method problem in the AHP for 3 x 3 and 4x4 matrices. H. Lewis, Solving the Least Squares Method problem in the AHP for 3 x 3 and 4 x 4 matrices, Central European Journal of Operations Research 13 (... Bozóki,S. - 《Central European Journal of Operations...
The least squares^-inverses for sum of ma-trices. Z. Xiong,Y. Qin,B. Zheng. Linear and Multilinear Algebra . 2013Z. Xiong, Y. Qin, B. Zheng, The least squares g-inverses for sum of matrices, Linear Multilinear Algebra 61 (2013) 448-462....
Projection Matrix Example 16.1 Line fitting, find the best fit under least square. Equations are: Matrix format: Minimize:‖Ax−b‖2=‖e‖2=(C+D−1)2+(C+2D−2)2+(C+3D−2)2 Find the partial derivitive with respect toCandD, and compare all the stagnation points to find minimu...
6.2 Backslash and least-squares In Matlab, the command c = A\b computes the solution to the system of equations Ac = b if A is a square matrix, whereas if A is rectangular, with more rows than columns, it computes the least squares solution, the vector c that minimizes norm...
Least squares have been widely used in the inverse problems of matrices in recent years.However,errors frequently occur in the coefficient matrix,making the approach being limited in itself.In order to improve the limitation,the total least-squares solution of inverse problems was proposed.The genera...
The least-square solutions of inverse problem for anti-symmetric and skew-symmetric matrices are studied.In addition,the problem of using anti-symmetric an... S Zhou,B Wu - 《Communications in Mathematical Research》 被引量: 42发表: 2007年 The solvability conditions for the inverse problems of...
The least-squares solution and the least-squares symmetric solution with the minimum-norm of the matrix equations AX = B and XC = D are considered in this paper. By the matrix differentiation and the spectral decomposition of matrices, an explicit representation of such solution is given. ...
The Hessian of the least-squares objective function is ∇2xx‖f(x)‖2=2FT(x)F(x)+2∑ifi(x)∇2xxfi(x). The least-squares Hessian update uses the first term, 2FTF, as a separate quantity, and updates the Hessian approximation using the BFGS formula without the 2FTF term. In ...
12.The Bending Analysis of Thin Plates for Using Discrete Least-Squares Method离散型最小二乘法分析薄板弯曲问题 13.Parameter Estimation for Least Square Method关于最小二乘法的参数估计问题探讨 14.Least-Squates Solutions of Inverse Problems for Two Class of Matrices and Their Optimal Approximation;两...